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Finding the Fourth Proportional to 20,049,969,852,016, 30,074,954,778,024 and 20,049,969,852,016

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Solution

The fourth proportional to 20,049,969,852,016, 30,074,954,778,024 and 20,049,969,852,016 is: 30,074,954,778,024

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049,969,852,016 : 30,074,954,778,024 = 20,049,969,852,016 : x
  2. Step 2: Convert to fraction form
    20,049,969,852,016/30,074,954,778,024 = 20,049,969,852,016/x
  3. Step 3: Cross multiply
    20,049,969,852,016x = 30,074,954,778,024 × 20,049,969,852,016
  4. Step 4: Simplify right side
    20,049,969,852,016x = 603,001,936,600,125,763,882,057,728
  5. Step 5: Solve for x
    x = 603,001,936,600,125,763,882,057,728/20,049,969,852,016
  6. Step 6: Final answer
    x = 30,074,954,778,024

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.